Grades 9–10 | Algebra I–II: Developing Reasoning and Endurance

Develops spatial reasoning, logical proof skills, and geometric understanding essential for success in advanced mathematics and science.

High school students collaborating on geometry exercises using rulers, compasses, and 3D shapes in a classroom setting. The scene represents focus, precision, and teamwork in learning geometry.

Grades 9–10 | Geometry

Overview
Grades 9–10 transition students from algebraic reasoning to spatial and geometric thinking. Through exploration of shapes, measurement, and transformations, students build visual intuition and logical reasoning. Geometry at this level emphasizes clarity, precision, and proof-based thinking—the bridge between Algebra I and advanced mathematics.

Core Topics
• Geometric postulates, theorems, and formal proofs
• Congruence, similarity, and transformations
• Triangles, quadrilaterals, circles, and 3-D solids
• Perimeter, area, surface area, and volume
• Coordinate geometry and algebraic applications
• Real-world modeling in design, architecture, and science

Approach
Instruction combines guided explanation, visual modeling, and collaborative problem-solving. Lessons draw from McDougal Littell, Pearson, or OpenUp Resources Geometry, with selective use of short visualizations (e.g., Khan Academy, Math Antics, 3Blue1Brown) to reinforce spatial understanding.

Format
Small groups of 4–6 students meet twice weekly for 90 minutes at Hunter Ridge, Mahomet, IL (5:00–9:00 p.m.). Placement assessments ensure proper alignment by readiness level and topic focus.

Outcomes
Students develop strong spatial reasoning, logical proof skills, and analytical precision—preparing them for Algebra II, Trigonometry, and future STEM coursework.